Question 1How many weekdays download were made in January and February. Take note of the bolded statement in the question…. In the table you have Number of downloads(Millions) which is both weekdays and weekend – January – 22 February - 27 Whereas weekends downloads for January and February are 82% & 94% respectively Simply subtract % of weekends download from 100% to get the weekdays % downloads ---- 100- 82 = 18% ----100-94 = 6% You can now evaluate the % from the Number of downloads for the entire week ( weekend & weekdays) 22 * 18/100 = 3.96 27* 6/100 = 1.62 Adding 3.52 + 1.62 = 5.58 – Answer = 5,580,000 Question 2 What was the % decrease in total of downloads between March and April? Note Decrease!!! Downloads in March 32 Downloads in April 26 Subtract 26 from 32 --32-26 = 6 Calculating decrease technique is usually putting the number of result of subtraction on the Ultimate number (Division) 6/32 = Here, 6 is the result after subtraction and 32 the ultimate number or Dominating number which the limiting number (26) was subtracted from. 6/32 = 0.1875 * 100 = 18.8% (Percentage of decrease) 18.8% Asnwer.. Question 3 If the total number of feedback responses is 25% greater than last year, how many responses were there last year.. Solution… Usually English can be a very big problem in this type of question. Be careful!! 25% greater than last year to many would have been calculated as 34200 + 49550 = 83750 But this is how it should be 125% greater than last year to many would have been calculated as 34200 + 49550 = 83750 100% assumed = 83750.. So 25% greater than… 125% = X unknown 125/100 = 1.25 83750/1.25 = 67, 000 Answer Question 4 Solution. How many customers sent their feedback by letter. Note satisfied customers and dissatisfied customers feedbacks are all feedbacks..Work them together Satisfied 34,200 * %by letter/100 ---- 34200 * 29/100 = 9918 Dissatisfied 49550*%by letter/100--- 49550*38/100= 18829 Adding 18829 + 9918 = 28747 (Answer) Don’t waste too much time cracking brain… You have 65% already for walkers 100-65 = 35% for cyclist Therefore.663..072 * 99...8% Decreased) Step 3 The big question… 11% of this age group travelled by bus…How many commuters would be under 35… 50.576. and 11% of this age group travelled by bus.8% .8% next year.2% 51.Answer . what is the approsimate ratio of walkers to cyclists? Solution.11 = 460.4(Number of passenger after 0.072 (Bus Passenger) Step 2.Divide through by 7 You get 13:7 …. Questions states Bus passenger under 35 Decreased by 0. Identify the numbers of Bus commuters from average number of commuters...6 Answer --.663.You need to sharpen your skill to know how to get a whole number in a question reflecting the capital base which all factors pledge allegiance to.600*12/100 = 51.. 425. 65:35 .Question 5 – If the number of bus passenger who are under 35 Decreased by 0.4/0.8= 99.. Step 1. if 65% walk and the remainder cycle. approximately how many commuters would be under 35? This question is very technical but not hard to hit if you can follow it step by step without deviating or picking randomly. Question 6 Within the under 35 ‘Other group’.2/100 = 50.For quick calculation 100-0. Question 7.. over six months period for a table priced at $600 than a table priced @ $250 Solution.50 -50.50 = $62.50 every month The man owing 250 would pay 50 every month… Bros. what proportions were accepted….Eliminate Zeros… 36/54 = 2/3 Answers . How much more? That is the key question… The man owing 600 would pay 112.. Last Year –Key working Area… 150+58+210+122 = 540 Accepted Portion = 150+210 =360 360/540…….40( Answer) Question 8 Of the proposals written last year.. How much more would a customer have repay each month. Solution…Usually this type of question is taken by using all factors to make your judgement in the context.Subtract….. Both accepted and rejected values are important for you to get your proportion…Which is the question!!! Always have it in my mind proportion.All factors working together…. 112. Question 9 If newspaper generated 22500 enquiries last year. Newspapers generated 22500 and % shared on chat is 25% 22500/0..%. You need to sharpen your skill to know how to get a whole number in a question reflecting the capital base which all factors pledge allegiance to. Solution Like I said previously. region 2 14 in region / to number of all poor performance 14/48 = 0. poor. how many did TV advert produced that year.29 * 100% = 29% Answer .25 = 90000(The ultimate number where every number is breathing from) 90000*15/100= 13500( TV advert) Note 15% is what TV advert shared in the chat!!! 13500--Answers Question 10 Solution Approximately what % of all poor performers works in region 2… Focus --.. 000 was an increase of 25% from last year.25 20000/0.000 which was an increase of 25% from last year.000 was last year ultimate number last year. Therefore last year 60000… 60000*expenses/100 ---60... Therefore… Factory 1 .25 = 80. 8+44+98= 150 Low product = 8======8/150*100= 5% highest % Low quality product = Factory 1 Answer . 9+22+69 = 100 – Low product =9 ==== 9/100 * 100 = 9% Factory 2.000*12. 12+52+136 = 200 –Low product= 12=== 12/200*100= 6% Factory 3. 80000-20000= 60000. You need to sharpen your skill to know how to get a whole number in a question reflecting the capital base which all factors pledge allegiance to. Solution Which factory had the highest % Low quality product… Every product is quality is important to pass judgment of level of poorness.. Note 20.Question 11 If the Tax bill for this year was $20. which means 60. 3+16+81 = 100 Low product =3=====3/ 100*100= 3% Factory 5..000 Step 2. how much was paid out on expenses last year… Solution.. Like I said previously. by subtraction…..5/100 = 7500 = 8000 Approximation. (Answer) Question 12. 25/100= 0. 6+30+64 = 100 – Low product = 6==== 6/100* 100= 6% Factory 4. 000.. Material last year = wages/2 Therefore this year taxation accounted for 20.0000/20/100 = 80.000 Where 16.000 Material last year = wages/2 What is wages in this year… 80.4 = 32.000 for material represents 20% on the chat.25 = 80. You need to sharpen your skill to know how to get a whole number in a question reflecting the capital base which all factors pledge allegiance to. Amount spent on material last year was half spent on wages this year.000( Wages) Therefore: Material last year = wages/2 Material last year = 32000/2 Material last year = 16.Question 13 Solution: If the amount spent on material was half that spent on wages this year when taxation accounted for 20.000*0... 16.000/ 25/100 = 20.000 Wages bill for last year 80. 20. what was the wages bill for last year.. Note. Ultimate number finding….000/0.000 * 34/100 = 27. Like I said previously. 200 ( Answer) .000*40/100 = 80. Which is 25% on chat.000.. ..69 = 8000 100= 8000 --.000 Answer .600—14. 300/345 * 100 = 87% Last year Singles Sex =210+30 =240 … 210/240*100 = 88% Co-educational = 290+45 =335… 290/335* 100= 87% Singles Sex -.500. All factors are important to pass judgement. This year Singles sex = 235+36 = 271 … 235/271 *100 = 87% Co-educational = 300+45 = 345.Question 14: Among which group of degree students was there the highest success rate. There fore if 31% is the rejected one…then 69% would represent the 5520 which were saleable or accepted.495..Last year is the highest success rate… Question 15: Approximately how many units were rejected by the Northern plant during production over the year? Solution: Northern plant—Key focus… Saleable units = 5520 And rejected ones in % is 31%.. Getting you Ultimate number… 5520/0..Ultimate number which every factor pledge allegiance to… Therefore 8000* 31/100 = 2480 8000* 69/100= 5520 To know the rejected unit by the Northern plan all through the year 2480*by total hours of operation during the year….. 5845 = 14. 26 = 12% for car rental in year 1….33. The change there was 23 to 25.6 Revenue for car rental in year 1 = half for that hotel in year 2……..35.04/40/100 --..04 Euros.5 *20/100= 2.04 Euros...26 Car rental in year 1 1.. Find the ultimate number year 2= 5.26/12/100= 1.27.But explosion. 1.Question 16: If the revenue for car rental in year 1 was half that for hotels in year 2 when Holiday lettings account for 5.5 Revenue from hotel in year 1 = 10..04 in year 2.U don fail ooo… The question is rate of change……Rate …Rate… Rate…. approximately how much fossil fuel will be consumed by manufacturing in country X in year 8… Solution This is a very funny technical question…Anybody can fall for it…Looking at what happened between year 2 and year3 of X . what was the revenue from hotels in year 1? Solution. Brother this answer 35 is inside the options.40% represent holiday letting….12 = 10. . Holiday letting account for 5.26/0. And one would have gone by using the normal series form …23.31. 2. Hotel in year 2…= 12.1 Answer Question 17— If the rate of change in fossil fuel consumption by manufacturing from year 2 to year 3 continues.. 5. Find the ultimate number year 1...04/40/100 = 12.52 Revenue for car rental in year 1 = half for that hotel in year 2…….52/2 = 1. Where it accounted for 5.29.25..6/20/100 = 2.. Note… Revenue for car rental in year 1 = half for that hotel in year 2……. 30(Year 7).0869 * 100 =8. we have 18 28 13 21 4 To calculate this.69% = 9% --9% as rate of change… You can now start by 25*109/100 = 27.see moneyyyyyyyyyyyyy 38 million na answer… Question 18… In year 4.30*109/100=38.You do calculation between numbers proportion from the top to the bottom.Now the rate of change between Year 2 and Year 3 … --. what would be the fossil nonsense for domestic… Solution… Abeg this one dey hard. 27.40(year 6).25(Year 4) .23.70*109/100 = 32.25*109/100= 29.But question says proportions remains the same… . 35..but thank God I escape am….46…38 million NAIRA to spend if I enter oil company.Identifying if it is increment or decrement. gas and water consumable increases by 7 million tones. 32. 29..70 (Year5).…chai... The word proportion is the killing word in this question… respectively for country Y. The question say by 7 million tones added to electricity 28+7 = 35 Now you have an order of 18 35 13 21 4 --. If the proportions of all types of fuel consumption in country Y remain identical to year 3 and electricity.25 – 25-23 =2…… 2/23 on increment to 25 === 0.40*109/100= 35. 000 In year 7.662 % reduced respectively 2.1% and 4. To compliment for table 2 –Manufacturing (18) since it proportion is 56% 35*56/100 = 19...794*97..92 = 26 (Domestic) --.794 Company 2 profit is 275..9/100 = 361. To compliment for table 2 –Domestic (21) since it proportion is 62% 16*162%/100= 25.Therefore we need to compliment for others.662 * 95. Company 1 profit is 368. To compliment for table 2 –Transport and communication (13) since it proportion is 56% 35*46/100= 16 = 16 (Transport) Going back to the initial table… You have 13 –21 increment 8 increase --8/13 = 62% Decrease.6 If combined Revenue is 700. if 2.049 275.1/100 = 262.9% from each profit… 368. In year 7.6 = 20 (Manufacturing for year 4) Going back to the initial table… You have 28-13 – decrement 15 decrease --15/28 = 54% 100-54= 46%Decrease.1% of company 1’s profits and 4.9% of company 2’s profits were reduced to cover employees bonuses.26 million Answer… Question 19.000 .. approximately what were the costs incurred by both companies that year if their combined revenue was $ 700. How do you do that Going back to the initial table… You have 18 – 28 – Increment 10 increase --10/18 = 56% increase.154. 316.316.791 = 165.000-cost Cost = 500. Profit for company 1 in year 9 = 334.204 = cost Cost= 76.316.049 + 262.000 We have from the formulae.Knowing the formulae stated in the table – Profit =Revenue –cost Both profit after reduction is 361. 500. and the company 1 generates .209 Questions says…cost of operating 1 is 2/3 of that of company 2… 2/3 = 66.7 = 250. 796 = 76. 334.000 naira of revenue…approximately how much revenue was generated by company 2 that year. if the cost of operating company 1 is two thirds of company 2.623.154. 791 Company 1 revenue = 500.7 Back to formula… Profit = Revenue-cost 289.7% Ultimate number--.479 Answer… .163 = Revenue – 250.165.000.204 = 700.7 Revenue = 250.000-334.163 =539.cost 623.791 = 500.6 = 623..000 – cost 700.204 Profit = Combined revenue..800 Answer Question 20 In year 9.209/66.7 +289. Constant.Then what is left in your revenue is what you use to access the extent of loss or profit.. In this case.Operating cost is 55 There you have 55*110/100 = 60... Paris and Rome …They are 164 .5 = 146 .Answer Question 22 If the operating cost increase globally by 10% next year but payroll costs and sales revenue remain the same. GENEVA – Payroll cost and operating cost together 85+60. Which makes Rome the least profitable site. 93. which site would have the best revenue to cost ratio next year… Solution. Paris and Rome respectively then you have 105. 98 & -70 respectively.. 173.5.5 If you repeat same for London. Rome. Here in this case…To know the least pro site… Your income which is your revenue is what you are using to pass judgment…Knowing fully well that after cost and loss have been added together which makes the minus.. cost and revenue… Step one.. Munich.5 & 113.Question 21 Excess International will be closing down their least profitable site... consider the following factors only. Therefore Revenue .. Note the questions says: but Payroll cost and sales Revenue remain the same..Revenue – 109 After adding all cost and loss under Geneva you have a total of 166 of this values.6. Operating cost increase globally by 10% For Geneva --. 82... Munich.3 respectively.. Geneva --.cost & loss =? 109-166= -57 Repeat same for London. No change!!! E no change oo… So you have . 74 If you do same to others. . Question 23.5*101.675km/lit … 450/12.4/100 = 12. decimal points.0 (Paris) The best 254:204 254/204 = 1.... if employee drives 950 kilometers using the average fuel consumption and 450 kilometers at 1.Respectively. Please note that every value..675 = 35.3 Therefore answer is Paris..You have 111.96= 107.5 = 111..5 Multiply by value per liter= 0. REVENUE: RATIO You have 109:146 …Simply divide 109 by 146…Note the denominator value is higher than the Numerator.Never round any number up…It is dangerous. To know the fuel consumption for a 450km for 12. you have 533:316 533/316 = 1. numbers and values after decimal points matters…Never round any number up until the final answer… 950 Kilometers distance in march and fuel consumption is 12.7 495:289 495/289 = 1..5 litters = Remember.675 = Remember.. So this would give you something like 0.4% above the normal rate in March Meaning 12.7 385:195 385/195 = 2.5*0.4% above this average.Never round any number up… It’s dangerous.5 = 76 liters of fuel to cover such distance The questions also states that 450km distance was covered with 1. Add total fuel used that month and multiply with fuel 76+35.04…Answer –107.5km/liter Therefore you have 950/12. In march. approximately how much will the fuel cost? Solution.96 ….4/100 = 12..Now the question is which site would have the best revenue to cost ratio.5 *100+1. 0.5*4. 1 pound = 2.97 pound to US dollar..54.. There fore you convert 0.9296 = 281.Then multiply with 1..01 = 1. And 281.5 in april Note from the table..5 = 146.5 gallons 32.9497$ Fuel consumption March was 146.25 liter.7216 + 153.01 = 1.75 litres Now fuel cost Per litre in March & April are 0. It says 1 gallon = 4....5 = 78.5 gallons 50*35/100 = 17.96 and 0.Question 24 Approximately how much will it cost in US dollars to buy 50 gallons of fuel during march and april in a 65:35 ration Solution Remember..96*2.25 litres 17.5 litters 32..97*2. 0.= $436 Answer .97 respectively From the table. Also 65:35 ratio Meaning 65% to 36% 50*65/100 = 32.Then multiply with 1.01 Us dollars.5*4.96 ..75 liter.5 in march 17.9296$ 0.9497 = 153.7216 Fuel consumption April was 78.54….Never round any number up…It is dangerous. And if it is later than 8 minutes. Had 6 Minutes. 1+1+5+6+9+10 = 32/6 =5.Every minute…. 6+2+2+0(cos on the graph) there was no indicator—Be wise+6+7 = 23/6 = 3. which of the five buses is least delayed… Solution… Get to put introduce bus D and E on the graph firstly… On average….3 Bus C.Question 25.5 .Remember. The company incures$45 for every minute that a bus is later than 5 minutes and if it is later than 8 minutes.Not for every minute later than 8 minutes.Every minute..(9) 3 extra minute late still below 8 minutes and (9)1 extra minute late above 8 minutes. the company pays $20 –Note. Question 26 Two new buses D&E were introduced… If bus D is 7% Punctual and Bus E is &% later on average than Bus C. the company pays an additional $20 fee. Note the following statement so that you won’t failt… Incurs $45 for every minute . Had 6 Minutes and 7 Minutes Meaning (6)1 extra late minutes (7) 2 extra late minute= 3*45 = 135 Bus B... 9 Minutes and 10 Minutes Meaning ( 6) 1 extra minute late .. 7+6+4+3+3+4 = 27/6 = 4...June Bus A. How much did the delay cost the company over the 6 months… Solution. Bus A.The key word… Find average of all buses …January.8 Bus B. (10) 3 extra minute late still below 8 minutes and (10)2 extra minute late above 8 minutes – All extra minutes above 5 minutes* 45 = 10*45 = 450 + all extra minute later than 8 which attract $20*2 twice = 450+40 = 490 Bus C.. Had6 minutes and 7 minutes Meaning (6)1 extra late minutes (7) 2 extra late minute= 3*45 = 135 135+135+590 = 760 Answer…. 8 So if you bring out all average set of value.5. You have 2:3 Answer Question 28 If the London experiences the same rate of change in rental stock value as new York did from period 1 to period 2.E values respectively which are 3.8 …..5*93/100= 4. 4.B. 4.. 4.8. Looking at this value…You know A is the least delayed. what will the approximate value of London rental stock be next year in US dollars.Rate… Rate of change in rental stock value as new York did from period 1 to 2 . then .5 4.Which 100+7 =107 4.Eliminate 0.Now.C...D.Which 100-7 =93 C. you have A. then .2. For D. Note the word..5*107/100= 4. Solution..2 D = 4. questions says…D is punctual more than C and E later than C.. A is the answer Question 27 What was the ratio of London rental property value to new York commercial property value in period 1? Solution… London Rental property value for period 1 is 20 While New York commercial property value in period 1 is 30 You have 20:30 .You have to work your percentage value above..You have to work your percentage value below.. 5.2 For E.3.. Average punctuality is 4. 6 = 38.000 cars are produced this year and CRS “R” US plans to increase it production of mini-vans by 0. But let’s work it out just incase you have something not close like that to be lucky enough… To find for ratio 5 == Just divide 3/5 = 0.. 100...14 =100. And the question says 3:5 ratio to that of this year..5% each year. Ratio 3 can represent 23.000..000(Last year) Total vehicle produced.5.000 for sports car last year. Calculate last year --.25*100 = 25% is the rate of change between that period… So...You just pick 38.6 then 23000/0.000 trucks were produced last year. Ratio of Last year sports cars to this year is 3:5 = 8 14000 trucks were produced last year. approximately how many sports cars were produced this year… Solution. 14000/% of trucks = 14000/14/100 = 14000/0. Now to find sports cars for last year. Question 29 If the ratio of cars produced last year to sports cars produced this year is 3:5 and 14.000 then from all indication ration 5 must be highed than 23....Approximate... Note the following.330 straight up which is the answer. You need to sharpen your skill to know how to get a whole number in a question reflecting the capital base which all factors pledge allegiance to.approximately how many mini vans will be produced 5 years from now… . Apply 25% rate change to London rental property from period 2 which 30 to get that of next year… You have 30*100+25/100 =37.330 which is the Answer Question 30 If 550.000*23/100 = 23. You have 23% of sports car.Rate of change from the table shows 40 to 50 which is an increment 50-40 = 10 Therefore 10/40 = 0.. $38bn Answer…. Factory A .5/100 = 88.000*100.5/100 = 90.773.5/100 = 88.000 * Defect of 12%/100 = 1560 Factory E .6*100.4* 100.5% In 5 years.4 YEAR 2 88.2*100.5/100= 89. Unit produced 13. Solution Year One Total unit produced…which is defective and good one inclusive… Defect in % would give you amount of defective produced components from Unit produced.326.6 YEAR 3 89.000 * Defect of 5%/100 = 1150 Factory C . Unit produced 21. Unit produced 23.773.2 YEAR 4 89..000 You are simply working on 88.882. This year mini van can be calculated by 550..000 on the 0.440 * 100.Solution… Note the following… This Year Mini vans By 0.222 …Approx….000 * Defect of 10%/100 = 1200 Factory B .5 % increment for the next 5 years 100+0.5 Please do this for the next 5 years 88.5 /100 = 89. Unit produced 12. Unit produced 14.440 YEAR 1 88.000 * 16/100 = 88. 90.5 = 100.200 Answwer Question 31..000 * Defect of 15%/100 = 3150 (Answer E) . Which factory produced the largest number of defective components in Year 1.326.000 * Defect of 3%/100 = 420 Factory D .882. so for year 4 & 5. 250. Unit produced increase 12.000 = 20. 00 Answer Question 34 In year 3 the difference between profit and salaries was 50.but trend… Factory A specifically….000 – 14.This is not rate . 31%.Question 32 If the trend in the proportion of defectives and units produced per year for factory A continue. 18.04 = 1.000 While defect % drops at 10%. 8% . Just work out expense 20% Which is 1250.000 & 20.000 .27% from the table would give 4% Therefore 50.. How much was spent on expenses that year..000/0.000 – 16.250..000. 6% so for year 4 & 5 4% .000.000* 2/100 = 400 Answer Question 33 In year 3 the difference between profit and salaries was $50..000*20/100 = 250. how much was the total revenue for that year… Solution Note. having known that the overall supreme figure for sales revenue is 1... work it out… Defects 2% to unit produced of 20. how many defects would be expected from factory A in year 5…? Remember.000.. From previous calculation.000 So do the same in return. 2% In year 5 specifically. Difference between profit and salaries produced = 50.000/4/100 = 50.000 Answer . calculate others yourself.5 which shows Africa to be the second smallest combined… A is the answer—Africa Question 36 Which activity considered across all populations has the second largest effect on the total global ecological footprint? Solution. fuel for domestic…. Combined… Food and living space footprint. Which simply makes Fuel domestic purpose as the largest activity with effect on ecological footprint.975. 36.39+ living space.545. You had them up together for each region in %.743.036..019. 11*900 =9900 * food. Food……………………………………= 0000 – Asia Food-------------------------------=0000.... .. 737.702...7 /100 9900*46/100 = 4554 If you do same for all regions as above. 11* 900 = 9900*39/100 = 3861 – Africa -.. 13.... Fuel transport = 45. Work the population together with the ecological footprint/person … For Africa… This is how you go about it. 9. My back dey pain me. Fuel Domestic purpose = 48.. 4. You’ll have 4554.Europe… If you do same like that for fuel for domestic and others… You get for Food= 50.You work vertically. Question is strigh forward… Which activity…? Is it food.Question 35 Which region has the second smallest combined food and living space footprint… Solution… Note the following..1..and so on… This case instead of work horizontally across the table..506. Food…. 900* 11 = 9900 * 7/100 =693 What is the living space South and central America 550*19 =10450 * 6/100 = 627 So we have 693-627 = 66 66/627 = 10.Question 37 By approximately how much can the population of south and central America increase before its living space footprint will be equal to Africas? Solution…. Empty seats… From the table you have Average no of vehicles. For Bus… 112 For Train… 89 To calculate the total number of seats in the vehicles. What is the living space footprint of Africa.. For bus… 112 * Average no of seats (55) = 6160 For train 89 * Average no of seats(430) = 38...5 = 11% Answer Question 38 Solution… Approximately what proportion of the total number of seats in all buses and trains are empty…? Solution… Note the following… All buses and trains….270 Now having known the number of seats for this vehicles… . 431.55 * 100 = 55% Answer .2 Now the real question is proportion of empty seats of buses and trains from the total.430 and empty seats are 3018.449.4 For train = 34.270*56/100 = 21.6 24.6/44. There total number of seats is 44.449..Calculate their non occupancy number… For Bus = 6160 which is total number of all seats in bus * average of non occupancy 100-51 = 49% . 6160*49/100=3018.2 = 24.44= 56% 38.4+ 21.430 = 0.431.400 which is total number of all seats in train * average of non occupancy 100.